S.C. Code Ann. § 7-17-710

If any candidate in a special or general election dies after the election but before the time for filing a protest or dies after a protest has been timely filed, his political party or a representative duly appointed by the court may file or continue the protest on his behalf. The authority reviewing the protest may then certify the results and deny the protest or uphold the protest in which case it must order a new election. In this event, additional filings of candidacy are allowed and a new election held in the manner the authority responsible for conducting the election provides.